Distributions pp 321-347 | Cite as

Appendix: Integration

  • J. J. Duistermaat
  • J. A. C. Kolk
Part of the Cornerstones book series (COR)


As we have seen, in Theorems 3.15 and 3.18 above, continuous linear forms on C 0.(X), for X an open subset of C n, arise naturally in the theory of distributions. The alternative name of Radon measure for such a form finds its origin in the existence of a bijective correspondence that associates a complex-valued measure on X to the linear form. More specifically, we have the following (Frigyes)1 Riesz Representation Theorem.


Linear Form Integrable Function Cauchy Sequence Bounded Variation Nonnegative Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematical InstituteUtrecht UniversityUtrechtThe Netherlands

Personalised recommendations